scientific article

zbMath0498.58003MaRDI QIDQ3963733

Shlomo Sternberg, Victor W. Guillemin

Publication date: 1981

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Radon transformmethod of stationary phaseSchrödinger equationcanonical quantizationMorse lemmaBohr-Sommerfeld quantization conditionsasymptotic solutions of partial differential equationsbicharacteristic of Maxwell equationsKostant-Souriau prequantizationLagrangean submanifoldsMalov index

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Applications of global differential geometry to the sciences (53C80) Pseudodifferential and Fourier integral operators on manifolds (58J40) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Partial differential equations on manifolds; differential operators (58J99) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Geometric quantization (53D50) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Hyperbolic equations on manifolds (58J45) Geometric optics (78A05) Propagation of singularities; initial value problems on manifolds (58J47) Integral transforms, operational calculus (44A99)

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